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Finding the Third Proportional to 41,639 and 86,680

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Solution

The third proportional to 41,639 and 86,680 is: 180,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,639 : 86,680 = 86,680 : x
  2. Step 2: Convert to fraction form
    41,639/86,680 = 86,680/x
  3. Step 3: Cross multiply
    41,639x = 86,680 × 86,680
  4. Step 4: Simplify right side
    41,639x = 7,513,422,400
  5. Step 5: Solve for x
    x = 7,513,422,400/41,639
  6. Step 6: Final answer
    x = 180,441.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.